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Finding the Fourth Proportional to 176,086.32, 242,851.32 and 115,610.64

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Solution

The fourth proportional to 176,086.32, 242,851.32 and 115,610.64 is: 159,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,086.32 : 242,851.32 = 115,610.64 : x
  2. Step 2: Convert to fraction form
    176,086.32/242,851.32 = 115,610.64/x
  3. Step 3: Cross multiply
    176,086.32x = 242,851.32 × 115,610.64
  4. Step 4: Simplify right side
    176,086.32x = 28,076,196,530.04
  5. Step 5: Solve for x
    x = 28,076,196,530.04/176,086.32
  6. Step 6: Final answer
    x = 159,445.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.